Answer:
$500 of new money in the economy
Step-by-step explanation:
In order to find how much a new reserve can generate in an economy we need to find the money multiplier of the economy. If we know the reserve ratio of the banking system we can find the money multiplier.
The formula for money multiplier is 1/Reserve ratio
In the question the reserve ratio is 20% or 0.2 we will put this in the formula in order to find the money multiplier
Money multiplier = 1/0.2= 5
Now in order to find how much can a new reserve generate we will multiply the new reserve by the multiplier.
New reserve = $100
Money multiplier = 5
5*100= 500
So a $100 new reserve can generate $500 of new money in the economy.